We study a class of continuous matrix-valued Anderson models acting on
L^{2}(\R^{d})\otimes \C^{N}. We prove the existence of their Integrated
Density of States for any d≥1 and N≥1. Then for d=1 and for
arbitrary N, we prove the H\"older continuity of the Integrated Density of
States under some assumption on the group GμE​​ generated by the
transfer matrices associated to our models. This regularity result is based
upon the analoguous regularity of the Lyapounov exponents associated to our
model, and a new Thouless formula which relates the sum of the positive
Lyapounov exponents to the Integrated Density of States. In the final section,
we present an example of matrix-valued Anderson model for which we have already
proved, in a previous article, that the assumption on the group GμE​​
is verified. Therefore the general results developed here can be applied to
this model